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The number of ways can seven persons sit...

The number of ways can seven persons sit around a table so that all shall not have the same neighbours in any two arrangements is

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7 persons sit at a round table in 6 ! ways.
But, in clockwise and anticlockwise arrangements, each person will have the same neighbours.
So, the required number of ways `=(1//2) xx (6 !) =360.`
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